%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SYN721+1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n010.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 03:20:25 PM UTC 2026
% Result : Theorem 0.13s 0.39s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN721+1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.07/0.35 % Computer : n010.cluster.edu
% 0.07/0.35 % Model : x86_64 x86_64
% 0.07/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.35 % Memory : 8046.5625MB
% 0.07/0.35 % OS : Linux 6.8.0-71-generic
% 0.07/0.35 % CPULimit : 300
% 0.07/0.35 % WCLimit : 300
% 0.07/0.35 % DateTime : Mon Sep 21 11:13:27 UTC 2026
% 0.07/0.35 % CPUTime :
% 0.07/0.36 % Drodi V4.1.1
% 0.13/0.39 % Refutation found
% 0.13/0.39 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.13/0.39 % SZS output start CNFRefutation for theBenchmark
% 0.13/0.39 fof(f1,conjecture,(
% 0.13/0.39 ( ( r(a,b)& (! [X] :( (? [Y] : r(X,Y))=> q(X,X) ))& (! [U,V] :( q(U,V)=> (! [Z] : r(Z,V) )) ))=> (? [W] :( r(b,W)& q(W,a) ) )) ),
% 0.13/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f2,negated_conjecture,(
% 0.13/0.39 ~(( ( r(a,b)& (! [X] :( (? [Y] : r(X,Y))=> q(X,X) ))& (! [U,V] :( q(U,V)=> (! [Z] : r(Z,V) )) ))=> (? [W] :( r(b,W)& q(W,a) ) )) )),
% 0.13/0.39 inference(negated_conjecture,[status(cth)],[f1])).
% 0.13/0.39 fof(f3,plain,(
% 0.13/0.39 (((r(a,b)&(![X]: ((![Y]: ~r(X,Y))|q(X,X))))&(![U,V]: (~q(U,V)|(![Z]: r(Z,V)))))&(![W]: (~r(b,W)|~q(W,a))))),
% 0.13/0.39 inference(pre_NNF_transformation,[status(thm)],[f2])).
% 0.13/0.39 fof(f4,plain,(
% 0.13/0.39 ((r(a,b)&(![X]: ((![Y]: ~r(X,Y))|q(X,X))))&(![V]: ((![U]: ~q(U,V))|(![Z]: r(Z,V)))))&(![W]: (~r(b,W)|~q(W,a)))),
% 0.13/0.39 inference(miniscoping,[status(thm)],[f3])).
% 0.13/0.39 fof(f5,plain,(
% 0.13/0.39 r(a,b)),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f4])).
% 0.13/0.39 fof(f6,plain,(
% 0.13/0.39 ![X0,X1]: (~r(X0,X1)|q(X0,X0))),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f4])).
% 0.13/0.39 fof(f7,plain,(
% 0.13/0.39 ![X0,X1,X2]: (~q(X0,X1)|r(X2,X1))),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f4])).
% 0.13/0.39 fof(f8,plain,(
% 0.13/0.39 ![X0]: (~r(b,X0)|~q(X0,a))),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f4])).
% 0.13/0.39 fof(f9,plain,(
% 0.13/0.39 q(a,a)),
% 0.13/0.39 inference(resolution,[status(thm)],[f6,f5])).
% 0.13/0.39 fof(f10,plain,(
% 0.13/0.39 ![X0]: (r(X0,a))),
% 0.13/0.39 inference(resolution,[status(thm)],[f9,f7])).
% 0.13/0.39 fof(f12,plain,(
% 0.13/0.39 ~r(b,a)),
% 0.13/0.39 inference(resolution,[status(thm)],[f8,f9])).
% 0.13/0.39 fof(f13,plain,(
% 0.13/0.39 $false),
% 0.13/0.39 inference(forward_subsumption_resolution,[status(thm)],[f12,f10])).
% 0.13/0.39 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/0.41 % Elapsed time: 0.052064 seconds
% 0.13/0.41 % CPU time: 0.129156 seconds
% 0.13/0.41 % Total memory used: 55.296 MB
% 0.13/0.41 % Net memory used: 54.652 MB
%------------------------------------------------------------------------------